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Level 3-4 Shapes - Symmetry
Does a Jumbo jet have a plane of symmetry?

Level 3-4 Shapes - Symmetry

Spot lines of symmetry and rotational symmetry in KS3 shapes. Fold, flip, and turn figures to check matches, then use symmetry in patterns and problem solving.

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Fascinating Fact:

The Taj Mahal in India is famous for its perfect reflection symmetry along its central axis.

In KS3 Maths, symmetry means matching parts of a shape by reflection or rotation. You will find lines of symmetry, work out rotational order, and use symmetry to solve geometry problems and spot patterns.

  • Line of symmetry: A line that splits a shape into two matching mirror halves.
  • Rotational symmetry: A shape fits onto itself after a turn of less than a full circle.
  • Order of rotation: The number of times a shape maps onto itself in one full turn.
What is a line of symmetry in KS3 maths?

A line of symmetry divides a shape into two mirror halves. If you fold along the line, the halves match exactly with no gaps or overlaps.

What does rotational symmetry and order mean?

A shape has rotational symmetry if it matches itself when turned. The order is how many times it matches in a full 360° turn (order 4 means four matches).

How can I test if a shape has symmetry?

For reflection, fold or use a mirror line to check matching halves. For rotation, turn the shape about its centre and see if it fits before a full turn.

1 .
How many planes of symmetry does a cube have?
0
3
6
9
Three of the planes run parallel to the faces of the cube, and the other six run diagonally from one edge to its opposite
2 .
What is the order of rotational symmetry of a kite?
1
2
3
4
Kites will only cover the same place in one position. If you rotate them less than 360o they will no longer fit the gap
3 .
Which statement describes the symmetry of a parallelogram?
0 lines of symmetry. Rotational symmetry of order 2
1 line of symmetry. Rotational symmetry of order 2
3 lines of symmetry. Rotational symmetry of order 1
1 line of symmetry. Rotational symmetry of order 3
Though you can't 'cut' a parallelogram into two reflective parts, you can rotate it to 'fit' in two positions
4 .
Does a Jumbo jet have a plane of symmetry?
Yes
No
It has two
It is a plane anyway
Think of two halves, separated by a vertical line running down the centre of the plane from nose to tail
5 .
Which of these numbers has a line of symmetry?
2
4
6
8
In fact it has two. You can draw a line vertically and another horizontally to see them more clearly
6 .
How many lines of symmetry does an isosceles triangle have?
0
1
2
3
As two of its sides are of equal length then isosceles tringles have one line of symmetry
7 .
Which capital letter has the most lines of symmetry?
H
M
S
T
H has two, M and T have one, S has none
8 .
How many lines of symmetry does a square have?
1
2
4
None
One horizontal, one vertical and two diagonal lines
9 .
What is the order of rotational symmetry of a rectangle?
0
1
2
3
A rectangle can be rotated about its centre into two positions and look exactly like the original rectangle. This is rotational symmetry
10 .
An equilateral triangle has how many lines of symmetry?
1
3
6
9
One from each of its three angles
You can find more about this topic by visiting BBC Bitesize - Symmetry

Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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